Quant Quiz

Directions (Q. 1 - 5): In each of these questions a number series is given. What value will come in place of the question mark (?) in the following series?

1. 0.5, ?, 1.5, 4.5, 13, 38.75

1) 0.5 

2) 0.75 

3) 1 

4) 1.5 

5) None of these

2. 13, 18, 22, 25, 27, 28, ?

1) 30 

2) 28 

3) 32 

4) 33 

5) None of these

3. 2, 10, 30, 68, 130, 222, ?

1) 280 

2) 290 

3) 320 

4) 350 

5) None of these

4. 11, 24, 16, 38, 27, 64, ?

1) 34 

2) 38 

3) 44 

4) 36 

5) None of these

5. 821, 460, 749, 580, 701, 652, ?

1) 668 

2) 677 

3) 766 

4) 686 

5) None of these

Direction (Q. 6-10): In the following questions, there are two equations (I) and (II) solve the equations and answer according to following codes:

1) if x < y 

2) if x > y 

3) if x = y 

4) if x >= y 

5) if x <= y

6. 

I. 2x^2 – 13x + 21 = 0 

II. 2y^2 – 7y + 3 = 0

7. 

I. x^2 – 12x + 35 = 0 

II. 6y^2 + 11y +3 = 0

8. 

I. 2x^2 – 17 x +21 = 0 

II. y^2 – 15y + 56 = 0

9. 

I. x^2 + 2x – 8 = 0 

II. 2y^2 – 15y + 28 = 0

10. 

I. x = √(1/9)

II. 9y^2 – 6y + 1 = 0

Answers:

1. 1

(.5 + .5) × .5 = .5

(0.5 + 1) × 1 = 1.5

(1.5 + 1.5) × 1.5 = 4.5

(4.5 + 2) × 2 = 13

(13 + 2.5 ) × 2.5 = 38.75

2. 2

2 × 6.5 = 13

3 × 6 = 18

4 × 5.5 = 22

5 × 5 = 25

6 × 4.5 = 27

7 × 4 = 28

8 × 3.5 = 28

3. 4

1 + 1^3 = 2

2 + 2^3 = 10

3 + 3^3 = 30

4 + 4^3 = 68

5 + 5^3 = 130

6 + 63 = 222

7 + 73 = 350

4. 3

11 × 2 + 2 = 24

24 ÷ 2 + 4 = 16

16 × 2+ 6 = 38

38 ÷ 2 + 8 = 27

27 × 2 + 10 = 64

64 ÷ 2 + 12 = 44

5. 2

821 – 19^2 = 460

460 + 17^2 = 749

749 – 13^2 = 580

580 + 11^2 = 701

701 – 7^2 = 652

652 + 52 = 677

6. 4

I. 12 x^2 – 6x – 7x + 21 = 0

x = 3, 7/2

II. 2y^2 - 7y + 3 = 0

y = 3, 1/2

7. 2

I. x^2 - 12x + 35 = 0

x = 7 or 5

II. 6y^2 + 11y + 3 = 0

y = -1/3, -3/2

x > y

8. 5

I. 2x^2 – 17 x + 21= 0

or, 2x^2 – 14 x – 3 x + 21 = 0

x = 7 or 3/2

II. y^2 – 15 y + 56 = 0

y^2 – 8y – 7y + 56 = 0

y(y – 8) – 7 (y – 8) = 0

(y – 8) (y – 7)

y = 8, 7

x <= y

9. 1

I. x^2 + 2x – 8 = 0

x^2 + 4 x – 2 – 8 = 0

x = – 4 or +2

II. 2 y^2 – 15 y + 28 = 0

y = 7/2, 4

x < y

100. 3 

I. x = 1/3

II. 9y^2 - 6y + 1 = 0

(3y - 1)^2 = 0

y = 1/3

x = y